Question

A jewelry store is selling necklaces and bracelets. Each necklace yields a profit of $8 and each bracelet yields a profit of $6. It costs $3.50 and 11 minutes to create each necklace and $2.50 and 5 minutes to create each bracelet. The store has 880 available minutes and $330 available for production. The owner also estimates that the total demand will not exceed 120 units.

How many bracelets and necklaces should the owner sell?

Answer 1

n = necklace

b = bracelet

n +b =120

n = 120-b

3.50n + 2.50b = 330

11n + 5b = 880

3.5(120-b) +2.5b=330

420-3.5b + 2.5b = 330

420 -b = 330

-b = -90

B =90

N = 30

3.5*30= 105

2.5*90 = 225

225 +105 = 330

11*30 = 330

90*5 = 450

450 +330 = 780

90 bracelets and 30 necklaces